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Unformatted text preview: HW-5
1. For a point charge q at a distance a from a spherical conductor of radius R (R<a), we
obtained in the lecture the result of the image charge inside the conductor. Starting from that
result, calculate the following quantities.
(a) The surface charge density and the force per unit area on the sphere.
(b) The total induced charge and the total force on the sphere. Is the result what you expect?
(c) The potential energy of the system.
(d) If the potential of the conductor is V0 instead of zero, how many image charges are
needed and where they should be placed?
(b) Two semi-infinite grounded conducting planes meet at right angle. In the region between
them, there is a point charge q. Set up the image configuration, and calculate the potential in
this region. What charges do you need, and where should they be located? What’s the force
on q? What’s the potential energy of the system? ...
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- Fall '09